1 Sort the cards into the table. Angles are equal Angles sum to 180° Not enough information 2 Work out the sizes of the unknown angles. a) a = b = c = d = e = b) c = d = Compare your method with a partner. Which angle rules did you use? 3 Work out the sizes of the unknown angles and label them on the diagram. Discuss your reasons for each angle with a partner. Did you work them out the same way? Solve complex problems with parallel line angles © White Rose Maths 2020 A B C D E F G H c e a b d 82° c d 79° 101° 43° 59°
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1 Sortthecardsintothetable.
Anglesareequal Anglessumto180° Notenoughinformation
2 Workoutthesizesoftheunknownangles.
a) a=
b=
c =
d=
e=
b)
c=
d=
Compareyourmethodwithapartner.Whichanglerulesdidyouuse?
3 Workoutthesizesoftheunknownanglesandlabelthemon
thediagram.
Discussyourreasonsforeachanglewithapartner.
Didyouworkthemoutthesameway?
Solve complexproblemswithparallel lineangles
©WhiteRoseMaths2020
A B C D
E F G H
c
e
a
bd
82°
cd
79°
101°
43°
59°
6 ABCisanisoscelestriangle.
LinesegmentsXYandBDareparallel.
a) Writeanexpressionintermsofxforthesizeofeachangle.
ACB= ACD=
AYX= BXY=
AXY= XYC=
BAC=
b)
ExplainwhyAmir’svalueforxisnotsuitable.
Whatwouldbeamoresuitablevalueforx?
4 Workoutthesizeofanglexineachdiagram.
a) c)
x= x=
b) d)
x= x=
5 ABCDisarectangle.
Workoutasmanyoftheunknownanglesaspossibleandlabelthemon
thediagram.
©WhiteRoseMaths2020
x can take any value. I’m going to use x = 93° to
work out the size of each angle.
x101°
x
41°
78°
x
79°51°
x81°
D
B
C
47°
53°
43°
A
B DC
YX
A
x
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